{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear and spline interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                y\n",
       "ds               \n",
       "1949-01-01  112.0\n",
       "1949-02-01  118.0\n",
       "1949-03-01  132.0\n",
       "1949-04-01  129.0\n",
       "1949-05-01  121.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\n",
    "    \"air_passengers.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y    0.256944\n",
       "dtype: float64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# fraction of missing data\n",
    "\n",
    "df.isnull().mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(marker=\".\", figsize=[10, 5], legend=None)\n",
    "ax.set_title(\"Air passengers\")\n",
    "ax.set_ylabel(\"Number of passengers\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Apply the linear interpolation method\n",
    "df_imputed = df.interpolate(method=\"linear\")\n",
    "\n",
    "df_imputed.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Air passengers\")\n",
    "ax.set_ylabel(\"Number of passengers\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply the linear interpolation method\n",
    "# Note: If the time intervals between rows are not uniform then\n",
    "# the method should be set as 'time' to achieve a linear fit.\n",
    "df_imputed = df.interpolate(method=\"time\")\n",
    "\n",
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Air passengers\")\n",
    "ax.set_ylabel(\"Number of passengers\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Spline interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Apply the spline interpolation method\n",
    "df_imputed = df.interpolate(method=\"spline\", order=2)\n",
    "\n",
    "df_imputed.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Air passengers\")\n",
    "ax.set_ylabel(\"Number of passengers\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "fsml",
   "language": "python",
   "name": "fsml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
